The tank contains air at a temperature of 20∘C∘C and absolute pressure of 800 kPakPa . Using a valve, the air escapes with an average speed of 160 m/sm/s through a 25-mmmm-diameter nozzle.If the volume of the tank is 1.25 m3m3, determine the rate of change in the density of the air within the tank at this instant. Gas constant of the air is R� = 286.9 J/(kg⋅K)J/(kg⋅K).Express your answer using three significant figures. ## Transcription and Explanation for Educational Website### Problem StatementThe tank contains air at a temperature of \( 20^\circ C \) and an absolute pressure of \( 800 \, \text{kPa} \). Using a valve, the air escapes with an average speed of \( 160 \, \text{m/s} \) through a 25-mm-diameter nozzle. **(Figure 1)**### Diagram Description- **Figure 1**: The diagram depicts a tank with air escaping upwards through a nozzle on top. The nozzle allows air to flow out at a specific speed. The tank is shown in a horizontal orientation, supported by stands.### Calculation TaskIf the volume of the tank is \( 1.25 \, \text{m}^3 \), determine the rate of change in the density of the air within the tank at this instant. The gas constant of the air is \( R = 286.9 \, \text{J/(kg} \cdot \text{K)} \).#### Required Expression- Express your answer using three significant figures: \[ \frac{\partial \rho}{\partial t} = \_\_\_\_ \, \text{kg/m}^3 \, \text{s} \]### Part B**Question**: Is the flow steady or unsteady?**Options**:- \( \bigcirc \) The flow is unsteady. The density of the air in the tank is increasing, the pressure increases as well, and so the flow is affected.- \( \bigcirc \) The flow is unsteady. The density of the air in the tank is decreasing, the pressure decreases as well, and so the flow is affected.- \( \bigcirc \) The flow is steady. The density of the air in the tank is increasing but the pressure decreases, compensating for the change in density.- \( \bigcirc \) The flow is steady. The density of the air in the tank is decreasing but the pressure increases, compensating for the change in density.### Interactive Components- **Submit Button**: To submit the numerical answer and select an option for Part B.- **Request Answer Button**: Available for additional assistance.This educational resource provides information about fluid dynamics and the behavior of gases in a controlled environment, useful for engineering and physics students.

Name: The tank contains air at a temperature of 20∘C∘C and absolute pressure
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: The tank contains air at a temperature of 20∘C∘C and absolute pressure of 800 kPakPa . Using a valve, the air escapes with an average speed of 160 m/sm/s through a 25-mmmm-diameter nozzle.If the volume of the tank is 1.25 m3m3, determine the rate of